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Finding the Fourth Proportional to 1,365.19, 2,047.79 and 487.73

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Solution

The fourth proportional to 1,365.19, 2,047.79 and 487.73 is: 731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.19 : 2,047.79 = 487.73 : x
  2. Step 2: Convert to fraction form
    1,365.19/2,047.79 = 487.73/x
  3. Step 3: Cross multiply
    1,365.19x = 2,047.79 × 487.73
  4. Step 4: Simplify right side
    1,365.19x = 998,763.44
  5. Step 5: Solve for x
    x = 998,763.44/1,365.19
  6. Step 6: Final answer
    x = 731.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.